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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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Question

Assume that the second partial derivatives of the surface X = x(0, 4) are given by
Xo4 = 0, X4 - e, + 2pes
X00 = 0e, – 2pe,,
And has the unit normal vector N = sin0e, + cos o ez.
Then the second fundamental form coefficients L, M, and N of the surface are given by
L-O sin -2o cos . M-0,N- sin ở + 20 cos o
L = 0 sin 0, M = 0, N = sin 0
The above answer
The above a nswer
L= 0 sin 0, M = 0, N - 20 cos o
I. - O sin 0. M- 0. N- sin 0 + 20 cos o
The a bove ans wer
The above a ns wer

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